1125445200 has 360 divisors, whose sum is σ = 4147276224. Its totient is φ = 260198400.

The previous prime is 1125445199. The next prime is 1125445201. The reversal of 1125445200 is 25445211.

It is an interprime number because it is at equal distance from previous prime (1125445199) and next prime (1125445201).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1125445201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3339432 + ... + 3339768.

Almost surely, 2^1125445200 is an apocalyptic number.

1125445200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1125445200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2073638112).

1125445200 is an abundant number, since it is smaller than the sum of its proper divisors (3021831024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1125445200 is a wasteful number, since it uses less digits than its factorization.

1125445200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 1125445200 is about 33547.6556557981. The cubic root of 1125445200 is about 1040.1790865168.

The spelling of 1125445200 in words is "one billion, one hundred twenty-five million, four hundred forty-five thousand, two hundred".